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Simplifying 21 = -3(k + -8) Reorder the terms: 21 = -3(-8 + k) 21 = (-8 * -3 + k * -3) 21 = (24 + -3k) Solving 21 = 24 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 21 + 3k = 24 + -3k + 3k Combine like terms: -3k + 3k = 0 21 + 3k = 24 + 0 21 + 3k = 24 Add '-21' to each side of the equation. 21 + -21 + 3k = 24 + -21 Combine like terms: 21 + -21 = 0 0 + 3k = 24 + -21 3k = 24 + -21 Combine like terms: 24 + -21 = 3 3k = 3 Divide each side by '3'. k = 1 Simplifying k = 1
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